Grand quasi Lebesgue spaces

Maria Rosaria Formica; Eugeny Ostrovsky; Leonid Sirota

doi:10.1016/j.jmaa.2021.125369

Grand quasi Lebesgue spaces

Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota

Department of Mathematics

University of Naples Parthenope

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We introduce a new class of quasi-Banach spaces as an extension of the classical Grand Lebesgue Spaces for “small” values of the parameter, and we investigate some its properties, in particular, completeness, fundamental function, operators estimates, Boyd indices, contraction principle, tail behavior, dual space, generalized triangle and quadrilateral constants and inequalities.

Original language	English
Article number	125369
Journal	Journal of Mathematical Analysis and Applications
Volume	504
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2021.125369
State	Published - 1 Dec 2021

Bibliographical note

Publisher Copyright:
© 2021 Elsevier Inc.

Funding

The first author has been partially supported by the Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM) and by Università degli Studi di Napoli Parthenope through the project “sostegno alla Ricerca individuale”. The first author has been partially supported by the Gruppo Nazionale per l'Analisi Matematica, la Probabilit? e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM) and by Universit? degli Studi di Napoli Parthenope through the project ?sostegno alla Ricerca individuale?.

Funders	Funder number
GNAMPA
Gruppo Nazionale per l'Analisi Matematica, la Probabilit?
Studi di Napoli Parthenope
Universit?
Istituto Nazionale di Alta Matematica "Francesco Severi"
Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni
Università degli Studi di Napoli Parthenope

Keywords

Contraction principle
Grand quasi Lebesgue Spaces
Hardy operators
Lebesgue-Riesz spaces
Quasi-Banach spaces
Tail function

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10.1016/j.jmaa.2021.125369

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Grand quasi Lebesgue spaces

Abstract

Bibliographical note

Funding

Keywords

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